Finite Group DatabasebetaFinite Group Databasebeta| order | 1152 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C26 |
| direct product | C2×#611⋊C8 |
| Fitting | C2×C9×C22⋊C8 ⋊ C2 |
| Sylow | C9 ⋊ C2×C8×D4 |
924 conjugacy classes of subgroups.
| transitive degree | μt(G) = 576 |
240 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1152, 93155);